When baking a cake, you have a choice of the following pans:
1. a round cake pan that is 2 inches deep and has a 7-inch diameter
2. a 6 inch × 9-inch rectangular cake pan that is 2 inches deep

Which of these pans has the larger volume? Justify your answer.

Answers

Answer 1

Answer:

round cake - 82.42 in^2

rectangular cake - 114 in^2

Round cake:

d = 7 in

r= d/2 = 7 in /2 = 3.5 in

h = 2

The surface area of a cylinder is: A = 2pie r^2 + 2pie rh The surface are of the round cake (cylindrical cake) excluding the bottom is

Area = 2pie r^2 + 2pie rh - pie r^2

Area = pie r^2 + 2pie rh

Area = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2

= 38.46 + 43.96

= 82.42 in^2

Rectangular cake:

w = 6 in |= 9 in h = 2 in

The surface area of a rectangle

A = 2wl + 2wh + 2lh

The surface are of the rectangular cake excluding the bottom is

A = 2wl + 2wh + 2lh - wl

A = wl + 2wh + 2lh

A = 6 * 9 + 2* 6 * 2 +2 *9 * 2

= 54 + 24 +36

= 114 in^2

Answer 2
Rectangular cake. I believe

Related Questions

Mandy was painting a mural in the shape of a rectangle. The length of the mural was 12 feet and the width was 5 feet. What was the area of the mural?
50
34 ft
60 sq ft
17 ft

Answers

12x5: 60
Answer 60sqft

Answer:

60 so ft

Step-by-step explanation:

Area: l•w

Area: 12•5

Area: 60

Area: 60 sq ft

There ya go! Hope this helps, good luck :)

Which of the expressions below is equal to 4x+12? Select all that apply.
A) 3x+8+x+4
B) 2x(x+6)
C) 4(x+3)
D) 2(2x+6)

Answers

Answer: a, c and d

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

trust me

HELP ME PRETTY PLS I AM BEGGING

Answers

it’s 7. take the equation given to you y=kx and then take each of the coordinates given and plug them in for x and y (3,21) 21=k(3) then divide the number being multiplied with k and divide it on both sides 7=k. then do that for the rest of them. you get 7 for all three
Your answer is 7. hope you get it correctly done.

What is the volume of a 2ft by 6ft by 8ft rectangular prism

Answers

the answer is 96 .......

Answer: 96

Step-by-step explanation: the formula to finding the volume of a rectangular prism is width x length x height. after plugging our values in, we have 2 x 6 x 8, which is equal to 96

hope this helps.

no one helped me with the last one so can SOMEONE HELP ME NOW

Answers

Answer:

4) 724

5) 750

6) 390

Step-by-step explanation:

[tex]SA_1 = 2(lw + lh + wh) = 2(17 * 14 + 17 * 4 + 14 * 4) = 2(238 + 68 + 56) = 2 * 362 = 724[/tex]

[tex]SA_2 = 2(lw + lh + wh) = 2(19 * 13 + 19 * 4 + 13 * 4) = 2(247 + 76 + 52) = 2 * 375 = 750[/tex]

[tex]SA_3 = 2(lw + lh + wh) = 2(14 * 9 + 14 * 3 + 9 * 3) = 2(126 + 42 + 27) = 2 * 195 = 390[/tex]

Madison earned $80 last month from a pet sitting job in her neighborhood. She spent $54 and put the remainder of the money in a savings account. What percent of her earnings did she put in savings?

Answers

1.4% she put in her savings
32.5 % I think ?
As she saved 26/80 of her money and that in a percentage is 32.5% :))

Please answer 1-5 i give brainlesit

Answers

1. 5 and E, 6 and F, 7 and D, 8 and A, 9 and G

Help, quickly if possible.

Answers

Answer: D

Step-by-step explanation:

$9 for each ball she buys, s, and the added shipping cost

Answer:

The correct answer is D

Step-by-step explanation:

EACH BALL COSTS $9

The number of balls they are going to buy is s.

They will cost 9s, but we get extra 10 to pay... so its 9s + 10

Someone please help ASAP! ITS DUE TODAY! Will give BRAINLIEST a to the person that gives a correct answer and explanation.

Answers

the first one is 11 and the second is 8.4

What is the y-intercept of this graph?

A.0
B.2
C.4
D.8

Answers

A. 0 since the line goes through (0,0)

Answer:

A) 0

Step-by-step explanation:

If the line keeps going it will never hit y

Jim borrowed $850 to purchase a stereo system for his car. He has been making payments each week for the last four weeks. The chart below shows the history of his loan balance.
In the linear function that models these data, x represents the week and y represents the balance of the loan. What is the slope of the function?

a. -850
b. -75
c. 75
d. 850

Answers

Answer:-75 per week

Step-by-step explanation: if the loan gets -75 per week the slope is -75

Answer:75 per week

Step-by-step explanation:

Pls help 10 points!!! No links or else

Answers

Answer:

Seth hikes 3.5 mph along the x-axis. David hikes 2.5 mph along the y-axis.

So the ordered pairs will be in the form

(3.5x, 2.5x), where x = number of hours.

Here are the correct ordered pairs:

(0, 0), (7, 5), (21, 15)

Q:What is the scale factor of this dilation?

A. 1/2
B. 1/3
C. 2
D. 3
(BTW: C.2 is not right I tried it)​

Answers

Answer:

D.3

Step-by-step explanation:

(4+2)÷2=3

(6+3)÷3=3

It is the answer a because I did I before

PLEASE HURRY ITS ONLY MATH!!!

Board Game Sales

A small company is selling a new board game, and they need to know how many to produce in the future.

After 12 months, they sold 4 thousand games; after 18 months, they sold 7 thousand games; and after 36 months, they sold 15 thousand games.

This information could be reasonably estimated using a single linear model?
Group of answer choices

True

False

If so, use the model to estimate the number of games sold after 48 months. If not, explain your reasoning.

Answers

Answer:

true

Step-by-step explanation:

False

The amount of games sold is not linear. If it were linear, the amount of games sold at 36 months would be 12 thousand games, assuming we are going off of the information given at 12 months

Is k=6 a solution to the equation: 1/3k = 3

Answers

Answer: No it's not

Step-by-step explanation:

1/3 x 6/1 = 6/3

6/3 = 2

Answer:

No

Step-by-step explanation:

1/3 x 6 = 2, not 3

Natalie paid $20.7 for 3 small pizzas and a salad which was $3.

a- Write an equation to represent the situation

b- solve the equation to find the cost of one pizza. Show your work

Answers

Answer:

Step-by-step explanation:

a) Let the cost of a Pizza = $ x

Cost of three pizza's = 3 *x = 3x

cost of 3 pizza + cost of a salad = $ 20.7

3x + 3 = 20.7

b) 3x + 3 = 20. 7     {Subtract 3 from both sides}

3x       = 20.7 - 3

     3x = 17.7  {Divide both sides by 3}

       x = 17.7/3

      x  = 5.9

Cost of one pizza = $ 5.9

Part A
$20.70=3p+3
Part B
$20.70=3p+3
$17.90=3p
$5.90=p
So the cost of one pizza is $5.90

Item 2
Find the LCM of 35 and 15

Answers

Answer:

Its 35

Step-by-step explanation:

Please hurry!
its math thats it

Answers

Answer:

See below

Step-by-step explanation:

Because 2*3=6, then 2^4 * 3^4 = 6^4 since (2*3)^4 = 6^4 -> 2^4 * 3*4 = 6^4

plz help!!!!!Mia creates a box plot using 28, 34, 40, 24, 44, 49, and 32 as the data. Which of the following box plots shows the data accurately?

Answers

u have to create a plot and graph that would help u , if it gave u a plot already use that

Answer:

I think i am not sure.

Write a polynomial of degree 3 that satisfies each of the given conditions.

Is factorable




Can be factored by grouping

Answers

Answer:

https://www.jacksonsd.org/cms/lib/NJ01912744/Centricity/Domain/504/BI%207-8.pdf

Step-by-step explanation:

the link to help you with the answers

SOMEONE HELP ME ANSWER THIS ILL GIVE BRAIBLIEST.

Answers

The answer Is C. $155,330

Answer:

The answer is C so you should do C

A store is having a 20% off sale. Find the sale price of a video game system that regularly costs $249.99

Answers

Answer:

A.200

Step-by-step explanation:

Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for π.

Answers

[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]

Question :-

A cylinder has a radius of 4.9 ft and a height of 7.8 ft. What is the surface area of the cylinder?

Answer :-

The surface area of the cylinder is 390.8044 ft².

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.9 \: ft}}\put(9,17.5){\sf{7.8 \: ft}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the cylinder is 4.9 ft. The height of the cylinder is 7.8 ft. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(4.9 \: ft)^2 + (2)(3.14)(4.9\: ft)(7.8\:ft) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(24.01\: ft^2) + (2)(3.14)(38.22\:ft^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(75.3914 \: ft^2) + (2)(120.0108 \: ft^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 150.7828 \: ft^2 + 240.0216 \: ft^2 [/tex]

[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 390.8044 \: ft^2}[/tex]

Therefore :-

The surface area of the cylinder is 390.8044 ft².

[tex]\\[/tex]

Learn more about the surface area of the cylinder at https://brainly.com/question/30914875

Have a great day! <33

which function below BEST describes the height of the ball after the xth bounce?
A) f(x) = 10(2.5 x)
B) f(x) = 25(2.5 x)
C) f(x) = 10(0.4 x)
D) f(x) = 25(0.4 x)

Answers

D

Dnskelendndnskskwbwkajs

The ratio of red to yellow paint is 4:3. If you use 24 pints of yellow paint, how many pints of red paint do you need?

Answers

Answer:

32 pints

Step-by-step explanation:

Given :-

The ratio of red to yellow is 4:3 .I use 24 pints of yellow paint .

And we need to find how many pints of red paint will we use .So let us take that we used x pints.

According to the Question :-

[tex]:\implies[/tex] 4:3 = x : 24

[tex]:\implies[/tex] 4/3 = x/24

[tex]:\implies[/tex] 4 = x/8

[tex]:\implies[/tex] x = 8*4

[tex]:\implies[/tex] x = 32

Hence we will use 32 pints of red paint.

Answer:

probably 32.

Step-by-step explanation:

4x8= 32

3x8= 24

Two tanks are shown below. Both are filled to capacity, but the owner decides to drain them. Tank 1 is draining at a rate of liters per minute. Tank 2 is draining at a rate of liters per minute. Guess which tank empties first?

Answers

Answer:

Tank one. Although tank 2 has more coming out the preasure will make the water come out slower therfore tank 1 will empty first.

\

Emilia pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the number of hours, s, she can use the boat. Emilia's Model x=6 02 4 6 8 10 12 14 Are Emilia's inequality and number line correct? Explain your reasoning by completing the statements. Click the arrows to choose an answer from each menu. Emilia's inequality, I < 6 is Choose... because the number of hours is Choose... Emilia's number line is Choose... . The endpoint Choose... filled in and the number line Choose... of the endpoint​

Answers

Given :-

Given :- Emilia pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the number of hours .

Answer:

→ Emilia inequality for x number of hours = x ≤ 6 .

since, she pays $24 for upto 6 hours , she can use boat from 0 hours to maximum 6 hours .

therefore, Emilia's inequality x ≤ 6 is correct because the number of hours is less than or equal to 6 .

now, from image, we can see that, Emilia uses number line from 0 hours to 14 hours in number line .

But correct number should be from 0 hours to 1,2,3,4,5 and 6 hours only .

therefore, Emilia's number line is incorrect . The endpoint is filled in and the number line is greater than the endpoint.

Step-by-step explanation:

Answer: emilias inequality x<6 is correct because the number of hours is less than or equal to six. emilias Number line is correct. the endpoint is correctly filled in and the number line should be shaded to the left of the endpoint.

Step-by-step explanation:

I took the test on I-ready

Hello! Sorry to interrupt but please help me with this 4. I do not Understand at ALL! Please help now please :( I’ll give them 30 points :)

Answers

Answer: 39°, 72°, 45°, 150°

Step-by-step explanation:

A circle has 360 degrees. [tex]\frac{1}{360}[/tex] would be equal to 1°

1) [tex]\frac{39}{360}[/tex] would be equal to 39° based on the rule above ^^

2) This fraction has a denominator of 5. Turn the denominator into 360. We can do this by multiplying the bottom by 72, since 360 ÷ 5 = 72 (make sure to multiply the numerator by 72 as well!)

[tex]\frac{1*72}{5*72}[/tex] = [tex]\frac{72}{360}[/tex]

This is equal to 72°

3) Use the same method as before

[tex]\frac{1*45}{8*45}[/tex] = [tex]\frac{45}{360}[/tex]

This is equal to 45°

4) Use the same method as before

[tex]\frac{5*30}{12*30}[/tex] = [tex]\frac{150}{360}[/tex]

This is equal to 150°

{f(1)=15

f(n)=f(n-1)•n

Answers

Answer:

n+11

Step-by-step explanation:

1. Find the area of a parallelogram with base b and height h.


b = 82 cm

h = 16.6 cm

Answers

Answer:

A = 1361. cm²

Step-by-step explanation:

A = b x h

b = 82 cm     h = 16.6 cm

A = 82 x 16.6

A = 1361.2 cm²

1361 centimeters hope this helps!
Other Questions
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